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人気のある代数 >

4x^4+21x^2-18=0

解

4 x^{4} + 21 x^{2} - 18 = 0

解

x = \frac{3}{2}, x = - \frac{3}{2}, x = 6 i, x = - 6 i

解答ステップ

4 x^{4} + 21 x^{2} - 18 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

4 u^{2} + 21 u - 18 = 0

解く

4 u^{2} + 21 u - 18 = 0 : u = \frac{3}{4}, u = - 6

u = \frac{3}{4}, u = - 6

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{3}{4} : x = \frac{3}{2}, x = - \frac{3}{2}

解く

x^{2} = - 6 : x = 6 i, x = - 6 i

解答は

x = \frac{3}{2}, x = - \frac{3}{2}, x = 6 i, x = - 6 i

グラフ

人気の例

x^{8} = 1

x^3-2x^2+4x-8=0

x^{3} - 2 x^{2} + 4 x - 8 = 0

3x^3-19x^2-14x=0

3 x^{3} - 19 x^{2} - 14 x = 0

x^{3} + 4 x^{2} + 4 x = 0

x (x - 1) (x + 2) = 0